Reliability Characteristics of Railway Communication System Subject to Switch Failure

  • Mangey Ram Department of Mathematics, Computer Science and Engineering, Graphic Era, Dehradun, Uttarakhand, India and Institute of Advanced Manufacturing Technologies, Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia
  • Vaishali Tyagi Department of Mathematics and Statistics, Kanya Gurukul Campus, Gurukul Kangri, Haridwar, Uttarakhand, India
Keywords: Railway communication system, Reliability, Mean time to failure, Markov process, Sensitivity


In the present study, a railway communication system (RCS) reliability model is developed based on system failure. The proposed RCS has control centre and stations which are arranged in such a manner that failure of control centre or a single station stops the working of overall system i.e., all switches must be working for communication to be available. To improve the reliability of the proposed communication system, a ring architecture is employed. In this architecture one additional communication path is connected in parallel configuration. Provision of two path of communication ensures that failure of one path will not cause a communication failure and communication will be available through additional path. All failures of RCS are exponentially distributed. Mathematical modelling of the system is carried out using Markov process by which the differential equations are generated. These differential equations are further used to evaluate the reliability measures like availability, reliability, mean time to failure of the proposed RCS. Likewise, sensitivity analysis is done to determine the impact of failures on RCS’s performance measures. The proposed Markov process-based model gives the information about the failure and working of the multi- state railway communication system. Finally, numerical results are provided with graphs to demonstrates the usefulness of the findings.


Aggarwal, K. K., Gupta, J., & Misra, K. (1975). A simple method for reliability evaluation of a communication system. IEEE Transactions on Communications, 23(5), 563-566.

Ai, B., Cheng, X., Kürner, T., Zhong, Z. D., Guan, K., He, R. S., Xiong, L., Matolak, D.W., Michelson, D.G., & Briso-Rodriguez, C. (2014). Challenges toward wireless communications for high-speed railway. IEEE transactions on intelligent transportation systems, 15(5), 2143-2158.

Ai, B., Guan, K., Rupp, M., Kurner, T., Cheng, X., Yin, X. F., Wang, Q., Ma, G.Y., Li, Y., Xiong, L., & Ding, J. W. (2015). Future railway services-oriented mobile communications network. IEEE Communications Magazine, 53(10), 78-85.

Application of Markov techniques. IEC 61165:2006 Ed. 2.0, May 2006.

Chen, R., Long, W. X., Mao, G., & Li, C. (2018). Development trends of mobile communication systems for railways. IEEE Communications Surveys & Tutorials, 20(4), 3131-3141.

De Felice, F., & Petrillo, A. (2011). Methodological approach for performing human reliability and error analysis in railway transportation system. International Journal of Engineering and Technology, 3(5), 341-353.

Flammini, F. (Ed.). (2012). Railway safety, reliability, and security: Technologies and systems engineering: Technologies and systems engineering. IGI Global.

German, R. (2000). Performance analysis of communication systems with non-Markovian stochastic Petri nets. John Wiley & Sons, Inc.

Guan, K., Li, G., Kürner, T., Molisch, A. F., Peng, B., He, R., Hui, B., Kim, J., & Zhong, Z. (2016). On millimeter wave and THz mobile radio channel for smart rail mobility. IEEE Transactions on Vehicular Technology, 66(7), 5658-5674.

He, D., Ai, B., Guan, K., Zhong, Z., Hui, B., Kim, J., Chung, H., & Kim, I. (2017). Channel measurement, simulation, and analysis for high-speed railway communications in 5G millimeter-wave band. IEEE Transactions on Intelligent Transportation Systems, 19(10), 3144-3158.

Kastell, K., Bug, S., Nazarov, A., & Jakoby, R. (2006, May). Improvments in railway communication via GSM-R. In 2006 IEEE 63rd Vehicular Technology Conference (Vol. 6, pp. 3026-3030). IEEE. Australia.

Kumar, A., & Kumar, P. (2019a). Application of Markov process/mathematical modelling in analysing communication system reliability. International Journal of Quality & Reliability Management, 37(2), 354-371.

Lin, S., Kong, L., He, L., Guan, K., Ai, B., Zhong, Z., & Briso-Rodríguez, C. (2015). Finite-state Markov modeling for high-speed railway fading channels. IEEE Antennas and Wireless Propagation Letters, 14, 954-957.

Márquez, F. P. G., Schmid, F., & Collado, J. C. (2003). A reliability centered approach to remote condition monitoring. A railway points case study. Reliability Engineering & System Safety, 80(1), 33-40.

Song, H., & Schnieder, E. (2018). Modeling of railway system maintenance and availability by means of colored petri nets. Eksploatacja i Niezawodność, 20(2).

Song, H., & Schnieder, E. (2019). Availability and performance analysis of train-to-train data communication system. IEEE Transactions on Intelligent Transportation Systems, 20(7), 2786-2795.

Tao, Y.J., Dong, D.C., & Ren, P. (2007). Research on reliability of railway communication system based on fault tree [J]. Journal of East China Jiaotong University, 2.

Tyagi, V., Arora, R., & Ram, M. (2021). Copula Based Measures of Repairable Parallel System with Fault Coverage. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 322-344.

Unterhuber, P., Pfletschinger, S., Sand, S., Soliman, M., Jost, T., Arriola, A., Val, I., Cruces, C., Moreno, J., Garcia-Nieto, J.P., Rodríguez, C., Berbineau, M. (2016). A survey of channel measurements and models for current and future railway communication systems. Mobile Information Systems, 2016.

Wang, C. X., Haider, F., Gao, X., You, X. H., Yang, Y., Yuan, D., Aggoune, H.M., Haas, H., Fletcher, S., & Hepsaydir, E. (2014). Cellular architecture and key technologies for 5G wireless communication networks. IEEE communications magazine, 52(2), 122-130.

Yan, L., Fang, X., & Fang, Y. (2015). Control and data signaling decoupled architecture for railway wireless networks. IEEE Wireless Communications, 22(1), 103-111.

Zhang, B., Zhong, Z., He, R., Dahman, G., Ding, J., Lin, S., Ai, B., & Yang, M. (2018). Measurement-based Markov modeling for multi-link channels in railway communication systems. IEEE Transactions on Intelligent Transportation Systems, 20(3), 985-999.

Zimmermann, A. (2013, December). Reliability modelling and evaluation of dynamic systems with stochastic Petri nets (tutorial). In Proceedings of the 7th International Conference on Performance Evaluation Methodologies and Tools (pp. 324-327).

Zimmermann, A., & Hommel, G. (2003, April). A train control system case study in model-based real time system design. In Proceedings International Parallel and Distributed Processing Symposium (pp. 8-pp). IEEE. France.

How to Cite
Mangey Ram, & Tyagi, V. (2021). Reliability Characteristics of Railway Communication System Subject to Switch Failure. Operational Research in Engineering Sciences: Theory and Applications, 4(2), 124-139.